Let us check your understanding about sampling distribution of the sample means and central limit theorem. Complete the following table and solve for the unknowns. The birth weight of baby boys who were delivered at 9 months is normally distributed with a mean of 7348.20 g with a standard deviation of 817.99 g. Suppose there were nine boy babies born on a given day and the mean birth weight is calculated. Compute the following: a. the mean and the standard deviation of the sample mean b. Find the probability that the mean weight of the nine baby boys born was less than 7160 g- c. Find the probability that the mean weight of the nine babies born was greater than 7113.1 g. Complete the table by supplying the missing values inside the box. a. Mean: = 1= Standard deviation 0- =- 817.99 b. Use the formula z = -" to solve P (x 7113.1) Z = 7113.1- 7348.20 -235.1 Z = 7 272.66 Z= Using the z table (refer to the table on the example), look for the areas of normal curve of z = 0.86 P (x > 7113.1) = P(= > 0.86) = Therefore, the probability that X assumes a value greater than 15